Answer:
b=20 or b=-20
Step-by-step explanation:
Keep in mind the meanings of the values of the discriminant:
If b^2-4ac=0, then the quadratic will have only 1 solution (double root)
If b^2-4ac<0, then the quadratic will have no real solutions
If b^2-4ac>0, then the quadratic will have 2 unique solutions
In this case, to get one real solution, the discriminant must be set up as b^2-4ac=0. Setting up the equation we get:
b^2-4(4)(25)=0
b^2-400=0
b^2=400
b=20 or b=-20
So the values of b would have to be either 20 or -20
The values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20
Given the quadratic equation [tex]4x^2+bx+25= 0[/tex], for this expression to have a real solution, the discriminant must be greater than zero
D > 0
b^2 - 4ac > 0
Given that a = 4, b = b, c = 25
b^2 - 4(4)(25) > 0
b^2 - 400 > 0
b^2 > 400
b > ±20
Hence the values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20
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A rectangular room is twice its breadth. It contains four windows of size 2 m x 1.75 m each and two doors of size 1 m x 3.5 m. If 24 pieces of tiles of size 2 mx 1.5 m each are required for tiling its floor and 41 pieces of 3D paper of size 3 m² each, are required for pasting on its 4 walls, find the height of the room.
The height of the room will be 4 meters
In the question, It is given that a room's four walls have to be covered by a 3-D paper of 3m² and 41 such papers are required for this. Also, we have been given that the room has 4 Windows of dimensions 2m * 1.75m each and 2 Doors of dimension 1m * 3.5m.
It is also stated that the tiling of the floor is done by tiles of dimension 2m * 1.5m each and 24 tiles are used for tiling.
Given that length is twice as breadth, Breadth b = x, and Length l = 2x
We know the Area of the rectangle: length * breadth
Area of tiles = 2 * 1.5 = 3m²
Area of 4 Windows = 2 * 1.75 *4 = 14m²
Area of 2 Doors = 2 * 1 * 3.5 = 7m²
On floor 24 tiles are used. So to calculate it we have : [tex]\frac{l*b}{3} = 24[/tex]
=> [tex]2x^{2} = 72[/tex] => x = 6
We get x = 6. Now, Breadth = 6meters, and Length = 12meters
For covering Four walls of the room with sheets, We will find out the Curved Surface Area of the room: 2h(l+b), where h is the height of the room. We also have to exclude the area of Four Windows and Two Doors for sheets. And a total of 41 pieces of sheets are required to cover it with an area of 3m² each. So, the formula will be, [tex]\frac{2h(l+b)-14-7}{3} = 41[/tex]
=> [tex]\frac{2h(18) - 14 - 7}{3} = 41[/tex] => 36h = 144
=> h = 4 metres
Hence, the height of the room will be 4 meters.
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Write the equation of the line that passes through the points (0,8) and (6,-2). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
Answer:
[tex]y - (-2) = (-5/3)\, (x - 6)[/tex].
.Step-by-step explanation:
The [tex]x[/tex]-coordinates of the two given points are different. Therefore, the line that goes through these points would not be vertical. Likewise, this line would not be horizontal since the [tex]y[/tex]-coordinates of the given points are different.
If a line in a plane is of slope [tex]m[/tex] and goes through point [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line would be [tex]y - y_{0} = m\, (x - x_{0})[/tex].
If a line in a plane goes through the points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] (where [tex]x_{0} \ne x_{1}[/tex],) the slope of this line would be [tex]m = (y_{1} - y_{0}) / (x_{1} - x_{0})[/tex].
Since the line in this question goes through points [tex](6,\, -2)[/tex] and [tex](0,\, 8)[/tex], the slope of this line would be:
[tex]\begin{aligned} m &= \frac{8 - (-2)}{0 - 6} \\ &= \frac{10}{(-6)} \\ &= -\frac{5}{3}\end{aligned}[/tex].
Let [tex](6,\, -2)[/tex] be the point [tex](x_{0},\, y_{0})[/tex]. The point-slope equation of this line would be:
[tex]y - (-2) = (-5 / 3)\, (x - 6)[/tex].
What equation makes the line go through the following points.
(11, -3) and (7, 9)
Answer:
y = -3x + 30
Step-by-step explanation:
First, find the slope using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (9 - (-3)) / (7 - 11)
m = -12/4
m = -3
Next, find the y-intercept by substituding one of the two points into what the equation is so far:
y = -3x + b
(7, 9)
9 = -3(7) + b
9 = -21 + b
30 = b
Now you have the full equation:
y = -3x + 30
Help ill give brainlist
2. If f(x) = 2(x - 3)2 find f(-8).
Answer:
-44
Step-by-step explanation:
I need help with this question can you help me
Answer:
28.26ft
Step-by-step explanation:
A=πr^2
π*3^2=28.27433
28.26
What is the range of fx) = 3^x
A. All positive real numbers
B. All real numbers greater than 3
C. All real numbers
D. All real numbers greater than or equal to 3
Answer:
d brainest plz
Step-by-step explanation:
Why is the first step when solving
2x – 15 - 4x = 3 to combine like terms?
Answer:
-9 is the final answer
Step-by-step explanation:
2x-4x=-2x
so the equation would be -2x-15=3
add 15 to both sides -2x=18
divide both sides by -2
The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls
in the class.
What is the total number of students in Coach Sheppard's class?
Answer:
umm i am pretty sure it is 20 to 22
Step-by-step explanation:
Rotation 90 degrees counterclockwise around the origin of the point (6,5)
The rotation of the point is (-5, 6)
How to determine the rotation of the point?The point is given as:
Point = (6,5)
The rule of 90 degrees counterclockwise rotation around the origin is
(x, y) = (-y, x)
So, we have
Image = (-5, 6)
Hence, the rotation of the point is (-5, 6)
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Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.
Which statement describes why this sequence is a function?
Select each correct answer.
Each amount of pennies corresponds to a unique day in this sequence.
The graph of this sequence would pass the horizontal line test.
The graph of this sequence would pass the vertical line test.
Each day corresponds to a unique amount of pennies in this sequence.
Answer:
-The graph of this sequence would pass the horizontal line test.
-Each day corresponds to a unique amount of pennies in this sequence.
Step-by-step explanation:
Answer:
B)The graph of this sequence would pass the horizontal line test.
D)Each day corresponds to a unique amount of pennies in this sequence.
Step-by-step explanation:
I took the test
Jin has pounds of birdseed. If he uses 1/8 pound a
day, for how many days will Jin be able to fill the bird
feeder?
A) 6days
B)1 3/32 days
C)7/8 days
D)1 day
Answer:
C. 7/8 days
Step-by-step explanation:
Yuuma applied the steps below to find the product of (–10.2)(–16.4).
Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)
Step 2: = (–16.4)(–10) + (–16.4)(–0.2)
Step 3: = ____________
Step 4: = 167.28
Which expression correctly fills in the blank in Step 3?
A (–164) + (–3.28)
B 164 – 3.28
C (–164) + 3.28
D 164 + 3.28
Answer:
D.)
Step-by-step explanation:
Answer:
DDDDDDDDD
Step-by-step explanation:
1.1.3 what is a function? Question 5 out of 10 Mark all the statements that are true
A. The domain for this function is the set {-5}
B. The range for this function is the set {-5}
C. All real numbers are in the range of this function
D. The domain for this function is all real numbers
C. This graph is not a function because the value of Y is the same for every value of X
What is
32747 written 4
significant figure?
Answer:
words are big and if words are big am I small
a cube of 3cm lengths is put in a cube of 5cm lengths. How much volume is left?
Answer:
2cm
Step-by-step explanation:
because?
The smallest composite number that can be written as a product of 4 different prime number are
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
the smallest composite number that can be written as a product of four different prime numbers is 6
please help I'm almost out of time
Answer:
3/2
Step-by-step explanation:
move the 3x to the other side and divide it by 2
When is it better to compare data sets using the median instead of the
mean?
Answer:
when the data is skewed
How would you discover a mathematical relationship between corresponding terms that occur in two separate number sequences, and what can you say about those terms?
Explain answer for brainiest, 5 stars, plus a thanks!!!
Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.
Both Patterns start at 0
Pattern 1 follows the rule, add 9.
Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....
Pattern 2 follows the rule, add 3.
Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...
It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.
They both have the same first terms.
Both Patterns have terms that are all multiples of 3.
Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.
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how many lines of symmetry does this have? 5?
Answer:
3
Step-by-step explanation:
I think ttttttttttttttttttttt
brian buys 1 pack of baseball cards to add to the 2 cards his friend gave him. then his mother gives him 2 more packs as a special treat. now he has as many cards as marcus who owns 1 pack plus 12 loose cards. how many cards are in each pack? SHOW WORK
Can give brainliest
Point G lies between points F and H on Line segment F H.
A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?
Answer:
We get the value of x: x = 3
Step-by-step explanation:
Point G lies between points F and H on Line segment F H.
Space between F and G = 4x
Space between G and H = 2x
Length of FH = 18
We need to find value of x.
As point G lies between point F and H, sum of FG and GH will give FH, we can write
[tex]FG + GH = FH[/tex]
Putting values to make equation
[tex]4x + 2x = 18[/tex]
Now, solving the equation we can find value of x
[tex]4x + 2x = 18 \\6x=18\\x=\frac{18}{6}\\x=3[/tex]
So, we get the value of x: x = 3
Answer:
dlfkv
Step-by-step explanation:
What is the slope of the line graph shown below?
Answer:
5/3
Step-by-step explanation:
Between the two points, the line goes up 5 points and to the right 3 points. The slope is rise over run, so in this case the rise is 5 and the run is 3.
This makes our slope:
5/3
Haddad purchases a new surround sound system with a store credit card. If Haddad pays the minimum monthly payment, he will have his balance paid off in 58 months. If he pays an additional $30.00 each month, he will have his balance paid off in 24 months. What percent of time will Haddad save by paying the extra $30.00 per month?
a)19%
b)24%
c)41%
d)59%
The percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.
What is the percentage?A percentage is a unit in 100, a part of a whole, or a ratio of one variable to the bigger variable.
Percentages show the quantity or value of the independent variable that is contained in a dependent variable.
Data and Calculations:
Total months to pay off a debt = 58 months
The additional amount required to reduce the payment period to 24 months = $30 per month
The savings in time = 59% (58 -24/58 x 100).
Thus, the percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.
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Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)
A right triangle is shown. One side of the triangle is labeled as 25 inches. The height of the triangle is labeled as 15 inches.
20 inches
Square root of 850 inches
Square root of 10 inches
40 inches
Answer:
20
Step-by-step explanation:
Susan and Kelvin each receive $100
$
100
as a gift.
Part A
Susan buys a movie ticket for $12.50
$
12.50
and 3
3
buckets of popcorn that cost $14.20
$
14.20
each with her $100
$
100
. Which statement is true?
Answer:
c
Step-by-step explanation:
solve the following equation 3+x upon 3=x upon 2
[tex] \frac{3 + x}{3} = \frac{x}{2} [/tex]
[tex] \frac{3}{3} + \frac{x}{3} = \frac{x}{2} [/tex]
[tex]1 + \frac{x}{3} = \frac{x}{2} [/tex]
[tex]1 = \frac{x}{2} - \frac{x}{3} [/tex]
[tex]1 = \frac{3x}{6} - \frac{2x}{6} [/tex]
[tex]1 = \frac{x}{6} [/tex]
[tex]1 \times 6 = x[/tex]
[tex]6 = x[/tex]
Help brainliest for correct answer
Answer:
14 degrees.
Step-by-step explanation:
I am assuming that the 56 degree angle is at the centre of the circle.
The angle at the top in the circle = 1/2 * 56 = 28 degrees.
The reflex angle = 360 - 56 = 304 degrees.
If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28 degree angle. Also the 2 triangles formed are congruent ( by SSS).
So x = 180 - 1/2 * 28 - 1/2 * 304
= 180 - 14 - 152
= 180 - 166
= 14 degrees.
A line that includes the point (4, 2)has a slope of
1
2
. What
is it equations
slope -intercept
form?
Answer: y = 1/2x + 1
(4,2)
4=x1
2=y1
y = mx + b
2 = 1/2(4) + b
2 = 2 + b
b = 1
y = 1/2x + 1